Publications of Henri Gillet
On the arithmetic Chern character.
Ann. Fac. Sci. Toulouse Math. (6),
23(3):611--619, 2014.
MR3266707
Parameterized Picard-Vessiot extensions and Atiyah extensions.
Adv. Math.,
238:322--411, 2013.
MR3033637
Parameterized Picard--Vessiot extensions and Atiyah extensions.
Advances in Mathematics,
238:322--411, 2013.
On The Arithmetic Chern Character .
7 pages,To appear in the proceedings of the conference “Arakelov Geometry and $K$-theory”, Toulouse, 2012. 2012.
Erratum for: ``On the number of lattice points in convex symmetric bodies and their duals'', Israel Journal of Mathematics 74 (1991), 347--357 [mr1135244].
Israel J. Math.,
171:443--444, 2009.
MR2520119
Arithmetic intersection theory on Deligne-Mumford stacks.
In Motives and algebraic cycles,
pages 93--109. Amer. Math. Soc., Providence, RI, 2009.
MR2562454
Motivic weight complexes for arithmetic varieties.
J. Algebra,
322(9):3088--3141, 2009.
MR2567412
An explicit proof of the generalized Gauss-Bonnet formula.
Astérisque,
328:137--160 (2010), 2009.
MR2664468
An arithmetic Riemann-Roch theorem in higher degrees.
Ann. Inst. Fourier (Grenoble),
58(6):2169--2189, 2008.
MR2473633
Volumes of symmetric spaces via lattice points.
Doc. Math.,
11:425--447 (electronic), 2006.
MR2288076
$K$-theory and intersection theory.
In Handbook of $K$-theory. Vol. 1, 2,
pages 235--293. Springer, Berlin, 2005.
MR2181825
Erratum to: ``The loop space of the $Q$-construction'' [Illinois J. Math. 31 (1987), no. 4, 574--597; MR0909784 (89h:18012)].
Illinois J. Math.,
47(3):745--748, 2003.
MR2007234
Differential algebra---a scheme theory approach.
In Differential algebra and related topics (Newark, NJ, 2000),
pages 95--123. World Sci. Publ., River Edge, NJ, 2002.
MR1921696
Direct images in non-Archimedean Arakelov theory.
Ann. Inst. Fourier (Grenoble),
50(2):363--399, 2000.
MR1775354
Erratum: ``The holonomy of the determinant of cohomology of an algebraic bundle'' [Comm. Math. Phys. 131 (1990), no. 1, 219--220; MR1062753 (91g:58295)].
Comm. Math. Phys.,
215(1):237--238, 2000.
MR1800925
$K$-theory and algebraic geometry.
In Algebraic $K$-theory and its applications (Trieste, 1997),
pages 206--233. World Sci. Publ., River Edge, NJ, 1999.
MR1715876
Filtrations on higher algebraic $K$-theory.
In Algebraic $K$-theory (Seattle, WA, 1997),
pages 89--148. Amer. Math. Soc., Providence, RI, 1999.
MR1743238
Upper bounds for regularized determinants.
Comm. Math. Phys.,
199(1):99--115, 1998.
MR1660211
Algebraic cycles on degenerate fibers.
In Arithmetic geometry (Cortona, 1994),
pages 45--69. Cambridge Univ. Press, Cambridge, 1997.
MR1472491
Descent, motives and $K$-theory.
J. Reine Angew. Math.,
478:127--176, 1996.
MR1409056
Non-Archimedean Arakelov theory.
J. Algebraic Geom.,
4(3):427--485, 1995.
MR1325788
Heights of projective varieties and positive Green forms.
J. Amer. Math. Soc.,
7(4):903--1027, 1994.
MR1260106
Arithmetic analogs of the standard conjectures.
In Motives (Seattle, WA, 1991),
pages 129--140. Amer. Math. Soc., Providence, RI, 1994.
MR1265527
Plane curves associated to character varieties of $3$-manifolds.
Invent. Math.,
118(1):47--84, 1994.
MR1288467
Higher algebraic $K$-theory: an overview, volume 1491 of Lecture Notes in Mathematics.
Springer-Verlag, Berlin, 1992.
MR1175629
An arithmetic Riemann-Roch theorem.
Invent. Math.,
110(3):473--543, 1992.
MR1189489
Analytic torsion and the arithmetic Todd genus.
Topology,
30(1):21--54, 1991.
MR1081932
Cohomological dimension of groups acting on ${\bf R}$-trees.
In Arboreal group theory (Berkeley, CA, 1988),
pages 231--250. Springer, New York, 1991.
MR1105336
Un analogue arithmétique du théorème de Bézout.
C. R. Acad. Sci. Paris Sér. I Math.,
312(11):845--848, 1991.
MR1108504
A note on a classical theorem of Blichfeldt.
Bull. London Math. Soc.,
23(2):131--132, 1991.
MR1122898
Simplicial approximation and low-rank trees.
Comment. Math. Helv.,
66(4):521--540, 1991.
MR1129795
On the number of lattice points in convex symmetric bodies and their duals.
Israel J. Math.,
74(2-3):347--357, 1991.
MR1135244
A Riemann-Roch theorem in arithmetic geometry.
In Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990),
pages 403--412. Math. Soc. Japan, Tokyo, 1991.
MR1159228
Characteristic classes for algebraic vector bundles with Hermitian metric. I.
Ann. of Math. (2),
131(1):163--203, 1990.
MR1038362
Characteristic classes for algebraic vector bundles with Hermitian metric. II.
Ann. of Math. (2),
131(2):205--238, 1990.
MR1043268
Bott-Chern currents and complex immersions.
Duke Math. J.,
60(1):255--284, 1990.
MR1047123
The holonomy of the determinant of cohomology of an algebraic bundle.
Comm. Math. Phys.,
131(1):219--220, 1990.
MR1062753
Dendrology of groups in low ${\bf Q}$-ranks.
J. Differential Geom.,
32(3):605--712, 1990.
MR1078160
Complex immersions and Arakelov geometry.
In The Grothendieck Festschrift, Vol. I,
pages 249--331. Birkhäuser Boston, Boston, MA, 1990.
MR1086887
Arithmetic intersection theory.
Inst. Hautes Études Sci. Publ. Math.,
72:93--174 (1991), 1990.
MR1087394
Arithmetic Chow groups and differential characters.
In Algebraic $K$-theory: connections with geometry and topology (Lake Louise, AB, 1987),
pages 29--68. Kluwer Acad. Publ., Dordrecht, 1989.
MR1045844
Un théorème de Riemann-Roch-Grothendieck arithmétique.
C. R. Acad. Sci. Paris Sér. I Math.,
309(17):929--932, 1989.
MR1055224
Analytic torsion and holomorphic determinant bundles. I. Bott-Chern forms and analytic torsion.
Comm. Math. Phys.,
115(1):49--78, 1988.
MR929146
Analytic torsion and holomorphic determinant bundles. II. Direct images and Bott-Chern forms.
Comm. Math. Phys.,
115(1):79--126, 1988.
MR929147
Analytic torsion and holomorphic determinant bundles. III. Quillen metrics on holomorphic determinants.
Comm. Math. Phys.,
115(2):301--351, 1988.
MR931666
Classes caractéristiques secondaires et immersions en géométrie complexe.
C. R. Acad. Sci. Paris Sér. I Math.,
307(11):565--567, 1988.
MR967362
Amplitude arithmétique.
C. R. Acad. Sci. Paris Sér. I Math.,
307(17):887--890, 1988.
MR974432
The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case.
J. Pure Appl. Algebra,
46(1):59--71, 1987.
MR894392
Torsion analytique et fibrés déterminants holomorphes.
C. R. Acad. Sci. Paris Sér. I Math.,
305(3):81--84, 1987.
MR901140
An introduction to higher-dimensional Arakelov theory.
In Current trends in arithmetical algebraic geometry (Arcata, Calif., 1985),
pages 209--228. Amer. Math. Soc., Providence, RI, 1987.
MR902594
Cycle classes and Riemann-Roch for crystalline cohomology.
Duke Math. J.,
55(3):501--538, 1987.
MR904940
The loop space of the $Q$-construction.
Illinois J. Math.,
31(4):574--597, 1987.
MR909784
Intersection theory using Adams operations.
Invent. Math.,
90(2):243--277, 1987.
MR910201
$K$-theory and intersection theory revisited.
$K$-Theory,
1(4):405--415, 1987.
MR920952
Direct images of Hermitian holomorphic bundles.
Bull. Amer. Math. Soc. (N.S.),
15(2):209--212, 1986.
MR854556
Gersten's conjecture for the $K$-theory with torsion coefficients of a discrete valuation ring.
J. Algebra,
103(1):377--380, 1986.
MR860713
The $K$-theory of twisted complexes.
In Applications of algebraic $K$-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983),
pages 159--191. Amer. Math. Soc., Providence, RI, 1986.
MR862636
Some new Gysin homomorphisms for the Chow homology of varieties.
Proc. London Math. Soc. (3),
50(1):57--68, 1985.
MR765368
$K$-théorie et nullité des multiplicités d'intersection.
C. R. Acad. Sci. Paris Sér. I Math.,
300(3):71--74, 1985.
MR777736
Classes caractéristiques en théorie d'Arakelov.
C. R. Acad. Sci. Paris Sér. I Math.,
301(9):439--442, 1985.
MR809851
Deligne homology and Abel-Jacobi maps.
Bull. Amer. Math. Soc. (N.S.),
10(2):285--288, 1984.
MR733697
On the $K$-theory of surfaces with multiple curves and a conjecture of Bloch.
Duke Math. J.,
51(1):195--233, 1984.
MR744295
Homological descent for the $K$-theory of coherent sheaves.
In Algebraic $K$-theory, number theory, geometry and analysis (Bielefeld, 1982),
pages 80--103. Springer, Berlin, 1984.
MR750678
Intersection sur les variétés d'Arakelov.
C. R. Acad. Sci. Paris Sér. I Math.,
299(12):563--566, 1984.
MR770447
Intersection theory on algebraic stacks and $Q$-varieties.
In Proceedings of the Luminy conference on algebraic $K$-theory (Luminy, 1983), volume 34 of,
pages 193--240. 1984.
MR772058
The $K$-theory of strict Hensel local rings and a theorem of Suslin.
In Proceedings of the Luminy conference on algebraic $K$-theory (Luminy, 1983), volume 34 of,
pages 241--254. 1984.
MR772059
Universal cycle classes.
Compositio Math.,
49(1):3--49, 1983.
MR699858
Riemann-Roch for general algebraic varieties.
Bull. Soc. Math. France,
111(3):287--300, 1983.
MR735307
Comparison of $K$-theory spectral sequences, with applications.
In Algebraic $K$-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980),
pages 141--167. Springer, Berlin, 1981.
MR618303
Riemann-Roch theorems for higher algebraic $K$-theory.
Adv. in Math.,
40(3):203--289, 1981.
MR624666
Riemann-Roch theorems for higher algebraic $k$-theory.
Bull. Amer. Math. Soc. (N.S.),
3(2):849--852, 1980.
MR578377